DLMF:2.2.E5 (Q712): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: order less than / rank
 
Normal rank
Property / Symbols used: order less than / qualifier
 
Defining formula:

o ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}

\littleo@{\NVar{x}}
Property / Symbols used: order less than / qualifier
 
xml-id: C2.S1.E2.m2aadec
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10942 / rank
 
Normal rank
Property / Symbols used: Q10942 / qualifier
 
Defining formula:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q10942 / qualifier
 
xml-id: C2.S2.XMD3.m1cdec

Latest revision as of 16:49, 1 January 2020

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DLMF:2.2.E5
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    Statements

    t 2 = y + ln t = y + 1 2 ln y + o ( 1 ) , superscript 𝑡 2 𝑦 𝑡 𝑦 1 2 𝑦 little-o 1 {\displaystyle{\displaystyle t^{2}=y+\ln t=y+\tfrac{1}{2}\ln y+o\left(1\right)% ,}}
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    DLMF:2.2.E5
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    o ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
    C2.S1.E2.m2aadec
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2aadec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C2.S2.XMD3.m1cdec
    0 references